Question

Use the table to match each conditional probability with the correct fraction

Answer 1

Explanation:

(a)The probability that a randomly selected male student has brown eyes.

• The number of male students = 80

,

• The number of male students with brown eyes = 38

`\begin{gathered} P(\text{randomly selected male student has brown eyes\rparen}=(38)/(80) \\ =(19)/(40) \end{gathered}`

(b)The probability that a randomly selected female student has green eyes.

• The number of female students = 100

,

• The number of female students with green eyes = 14

`\begin{gathered} P(\text{randomly selected female student has green eyes\rparen}=(14)/(100) \\ =(7)/(50) \end{gathered}`

(c)The probability that a randomly selected student with blue eyes is male.

• The number of students with blue eyes = 22

,

• The number of male students with blue eyes = 10

`\begin{gathered} P(\text{randomly selected student with blue eyes is male\rparen}=(10)/(22) \\ =(5)/(11) \end{gathered}`

(d)The probability that a randomly selected student with green eyes is female.

• The number of students with green eyes = 26

,

• The number of female students with green eyes = 14

`\begin{gathered} P(\text{randomly selected student with green eyes is female\rparen}=(14)/(26) \\ =(7)/(13) \end{gathered}`